Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1192, 1194 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1192 and 1194 is 2.
GCF(1192,1194) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1192
2 | 1192 |
2 | 596 |
2 | 298 |
149 | 149 |
1 |
Prime factors of 1192 are 2,149. Prime factorization of 1192 in exponential form is:
1192 = 23×1491
Prime Factorization of 1194
2 | 1194 |
3 | 597 |
199 | 199 |
1 |
Prime factors of 1194 are 2,3,199. Prime factorization of 1194 in exponential form is:
1194 = 21×31×1991
∴ So by taking common prime factors GCF of 1192 and 1194 is 2
Factors of 1192
List of positive integer factors of 1192 that divides 1192 without a remainder.
1,2,4,8,149,298,596,1192
Factors of 1194
List of positive integer factors of 1194 that divides 1194 without a remainder.
1,2,3,6,199,398,597,1194
Greatest Common Factor
We found the factors and prime factorization of 1192 and 1194. The biggest common factor number is the GCF number.
So the greatest common factor 1192 and 1194 is 2.
Also check out the Least Common Multiple of 1192 and 1194
(i) The GCF of 1192 and 1194 is associative
GCF of 1192 and 1194 = GCF of 1194 and 1192
1. What is the GCF of 1192 and 1194?
Answer: GCF of 1192 and 1194 is 2.
2. What are the Factors of 1192?
Answer: Factors of 1192 are 1, 2, 4, 8, 149, 298, 596, 1192. There are 8 integers that are factors of 1192. The greatest factor of 1192 is 1192.
3. What are the Factors of 1194?
Answer: Factors of 1194 are 1, 2, 3, 6, 199, 398, 597, 1194. There are 8 integers that are factors of 1194. The greatest factor of 1194 is 1194.
4. How to Find the GCF of 1192 and 1194?
Answer:
Greatest Common Factor of 1192 and 1194 = 2
Step 1: Find the prime factorization of 1192
1192 = 2 x 2 x 2 x 149
Step 2: Find the prime factorization of 1194
1194 = 2 x 3 x 199
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1192 and 1194 is 2